In the gure shown, pinion A drives gear B , which his attached to a hoisting...
In the gure shown, pinion
A
drives gear
B
, which his attached to a hoisting drum in order to lift
block
L
. The block starts at rest (on the ground) and acquires upward velocity of 2 m/s in a vertical
displacement of 0.8 m with constant acceleration. As the block passes this position, calculate (a) the
acceleration of point
C
on the drum, (b) the angular velocity and acceleration of pinion
A
Homework Answers
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In the gure shown, pinion
A
drives gear
B
, which his attached to a hoisting...
B L. ra = 10 cm 18 = 30 cm FORUM = 40 cm The pinion...
B L. ra = 10 cm 18 = 30 cm FORUM = 40 cm The pinion (small gear) A (with radius ra = 10 cm) of a hoist motor drives a larger gear B (with radius rs = 30 cm), which is attached to a hoisting drum. The load Lis attached to an inextensible cord that wraps around the drum (with radius TDRUM = 40 cm). The mass of the load Lis 30 kg, and the mass of the drum...
Gear A A=0.05m Gear B Is=0.075m ra=0.1m ay=0.1m/s2 o Cart M is attached to the inner...
Gear A A=0.05m Gear B Is=0.075m ra=0.1m ay=0.1m/s2 o Cart M is attached to the inner pully of gear B(small radius). It starts from rest. The car accelerates at a constant acceleration of am 0.1 m/s2 1) Indicate the x,y coordinate frame on your paper. 2)Find the angular acceleration of gear A a 3)For 1 rotation of gear A, how much will car M move? 4) If the mass of the cart is 2 kg, Calculate the tension in the...
4. Gear A is in mesh with gear B as shown. If A starts from rest...
4. Gear A is in mesh with gear B as shown. If A starts from rest and has a constant angular acceleration of an -2 rad /s, determine the time needed for B to attain an angular velocity of Os - 65 rad/s. - 25 mm - 100 mm
Gear A starts from rest and accelerates uniformly with ??-0.8 [rad/s, in direction shown. Gears B...
Gear A starts from rest and accelerates uniformly with ??-0.8 [rad/s, in direction shown. Gears B and C are fastened together and rotate together. Radii of gears are: r in],r 8 [in], rc 4 [in], and ro-6 [in]. After A has rotated through ?0A-3 [rev], determine: (a) the magnitude of angular velocity of gear D, oo [rad/s], (b) the magnitude of angular acceleration of gear D, an, [rad/s'], and (c) the magnitude of acceleration of point P on gear D,...
A 2.0 kg block on a horizontal frictionless surface is attached to a spring whose force...
A 2.0 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 300 N/m. The block is pulled from its equilibrium position at x = 0 m to a displacement x = + 0.090 m and released from rest t=0 The block then executes SHM along the x-axis horizontal. (a) What is the maximum acceleration and velocity?
Physics with Calc I A motorist drives along a straight road at a constant speed of...
Physics with Calc I A motorist drives along a straight road at a constant speed of 15.5 m/s. Just as she passes a parked motorcycle police officer, the officer starts to accelerate at 3.00 m/s2 to overtake her. Assume that the officer maintains this acceleration. (a) Determine the time it takes the police officer to reach the motorist. (b) Find the speed of the officer as he overtakes the motorist. (c) Find the total displacement of the officer as he...
/25 Q1 (25 marks) (a)The motors at A and B draw in their attached cables with an acceleration of ...
/25 Q1 (25 marks) (a)The motors at A and B draw in their attached cables with an acceleration of a-4/ m/s2, where t is in seconds. The block starts at h 0 from rest and then reaches a height of h -4m. (i) How much time does it take to reach this height? (ii) What is the velocity of pulley D at that moment? (iii) What is the displacement of pulley D at that moment? 9 marks) (2 marks) (2...
A block of mass mmm= 3.00 kg is attached to the end of an ideal spring....
A block of mass mmm= 3.00 kg is attached to the end of an ideal spring. Due to the weight of the block, the block remains at rest when the spring is stretched a distance hhh= 8.00 cm from its equilibrium length. (Figure 1)The spring has an unknown spring constant k. Take the acceleration due to gravity to be g = 9.81 m/s2m/s2 . Suppose that the block gets bumped and undergoes a small vertical displacement. Find the resulting frequency...
Chapter D2, Problem D2/146 In the design of an amusement park ride, the cars are attached...
Chapter D2, Problem D2/146 In the design of an amusement park ride, the cars are attached to arms of length R = 21 m which are hinged to a central rotating collar which drives the assembly about the vertical axis with a constant angular rate w = 0.37 rad/s. The cars rise and fall with the track according to the relation z = (h/2)(1-сos 20) where h = 6.3 m. Find the R-, -, and 0-components of the velocity v...
A low-flying crop-duster A is moving with a constant speed of 40 m/s in the horizontal circle of radius 300 m. As it passes the twelve-o'clock position shown at time t = 0, car B starts from rest from the position shown and accelerates along the straight
A low-flying cropduster A is moving with a constant speed of 40 m/s in the horizontal circle of radius 300 m. As it passes the twelve-o'clock position shown at time t = 0 car B starts from rest from the position shown and accelerates along the straight road at the constant rate of 3m / (s ^ 2) until it reaches a speed of 30m / s after which it maintains that constant speed. Determine the velocity and acceleration
of...
B L. ra = 10 cm 18 = 30 cm FORUM = 40 cm The pinion (small gear) A (with radius ra = 10 cm) of a hoist motor drives a larger gear B (with radius rs = 30 cm), which is attached to a hoisting drum. The load Lis attached to an inextensible cord that wraps around the drum (with radius TDRUM = 40 cm). The mass of the load Lis 30 kg, and the mass of the drum...
Gear A A=0.05m Gear B Is=0.075m ra=0.1m ay=0.1m/s2 o Cart M is attached to the inner pully of gear B(small radius). It starts from rest. The car accelerates at a constant acceleration of am 0.1 m/s2 1) Indicate the x,y coordinate frame on your paper. 2)Find the angular acceleration of gear A a 3)For 1 rotation of gear A, how much will car M move? 4) If the mass of the cart is 2 kg, Calculate the tension in the...
4. Gear A is in mesh with gear B as shown. If A starts from rest and has a constant angular acceleration of an -2 rad /s, determine the time needed for B to attain an angular velocity of Os - 65 rad/s. - 25 mm - 100 mm
Gear A starts from rest and accelerates uniformly with ??-0.8 [rad/s, in direction shown. Gears B and C are fastened together and rotate together. Radii of gears are: r in],r 8 [in], rc 4 [in], and ro-6 [in]. After A has rotated through ?0A-3 [rev], determine: (a) the magnitude of angular velocity of gear D, oo [rad/s], (b) the magnitude of angular acceleration of gear D, an, [rad/s'], and (c) the magnitude of acceleration of point P on gear D,...
/25 Q1 (25 marks) (a)The motors at A and B draw in their attached cables with an acceleration of a-4/ m/s2, where t is in seconds. The block starts at h 0 from rest and then reaches a height of h -4m. (i) How much time does it take to reach this height? (ii) What is the velocity of pulley D at that moment? (iii) What is the displacement of pulley D at that moment? 9 marks) (2 marks) (2...
Chapter D2, Problem D2/146 In the design of an amusement park ride, the cars are attached to arms of length R = 21 m which are hinged to a central rotating collar which drives the assembly about the vertical axis with a constant angular rate w = 0.37 rad/s. The cars rise and fall with the track according to the relation z = (h/2)(1-сos 20) where h = 6.3 m. Find the R-, -, and 0-components of the velocity v...
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